TSTP Solution File: NUM542+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM542+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:33:36 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 6 unt; 0 def)
% Number of atoms : 713 ( 18 equ)
% Maximal formula atoms : 460 ( 11 avg)
% Number of connectives : 990 ( 338 ~; 449 |; 172 &)
% ( 10 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 143 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 89 ( 6 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( sdtlseqdt0(xm,xn)
=> ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) ) )
=> ( ( aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ) ) )
& ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) )
& aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
& aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
=> sdtlseqdt0(xm,xn) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessTotal) ).
fof(m__1964,hypothesis,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1964) ).
fof(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessTrans) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSuccNum) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessASymm) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessSucc) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNatNSucc) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSeg) ).
fof(c_0_9,negated_conjecture,
~ ( ( sdtlseqdt0(xm,xn)
=> ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) ) )
=> ( ( aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ) ) )
& ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) )
& aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
& aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
=> sdtlseqdt0(xm,xn) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_10,negated_conjecture,
! [X2,X2,X3,X3,X5,X5,X6,X6,X7] :
( ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(xm,xn) )
& ( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aSet0(slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| aElementOf0(X2,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| aSet0(slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X3),xn)
| ~ aElementOf0(X3,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
| aElementOf0(X3,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(esk1_0,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X5),xm)
| ~ aElementOf0(X5,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
| aElementOf0(X5,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X6),xn)
| ~ aElementOf0(X6,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
| aElementOf0(X6,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X7,slbdtrb0(xm))
| aElementOf0(X7,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])]) ).
fof(c_0_11,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
cnf(c_0_12,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
fof(c_0_16,plain,
! [X4,X5,X6] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,hypothesis,
( sdtlseqdt0(szszuzczcdt0(X1),xm)
| sdtlseqdt0(xm,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( sdtlseqdt0(xm,X1)
| aElementOf0(X1,slbdtrb0(xm))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,negated_conjecture,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,negated_conjecture,
( sdtlseqdt0(X1,X2)
| aElementOf0(X2,slbdtrb0(xm))
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_15])]) ).
cnf(c_0_26,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_27,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( szszuzczcdt0(X2) != sz00
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
cnf(c_0_28,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,negated_conjecture,
( ~ aElementOf0(esk1_0,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
cnf(c_0_32,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| aElementOf0(X2,slbdtrb0(xm))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( aElementOf0(esk1_0,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_37,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(c_0_38,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(c_0_39,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| X2 != szszuzczcdt0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
cnf(c_0_40,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| ~ aElementOf0(esk1_0,slbdtrb0(xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_20]),c_0_31])]) ).
cnf(c_0_41,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| aElementOf0(X1,slbdtrb0(xn))
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_31])]),c_0_34]),c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| aElementOf0(esk1_0,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_20]),c_0_31])]) ).
cnf(c_0_43,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
( X1 != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_47,negated_conjecture,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_48,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xn))
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_49,negated_conjecture,
aElementOf0(xn,slbdtrb0(xm)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_50,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_34]),c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(csr,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aElementOf0(xn,slbdtrb0(xn)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
~ aElementOf0(xn,slbdtrb0(xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_31])]) ).
cnf(c_0_54,negated_conjecture,
sdtlseqdt0(xm,xn),
inference(sr,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_55,plain,
! [X4,X5,X6,X6,X5] :
( ( aSet0(X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X6),X4)
| ~ aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk3_2(X4,X5),X5)
| ~ aElementOf0(esk3_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk3_2(X4,X5)),X4)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(esk3_2(X4,X5),szNzAzT0)
| aElementOf0(esk3_2(X4,X5),X5)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk3_2(X4,X5)),X4)
| aElementOf0(esk3_2(X4,X5),X5)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSeg])])])])])])]) ).
cnf(c_0_56,negated_conjecture,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_54]),c_0_15]),c_0_31])]) ).
cnf(c_0_57,plain,
( sdtlseqdt0(szszuzczcdt0(X3),X1)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_56]),c_0_34]) ).
cnf(c_0_59,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),X1)
| slbdtrb0(xm) != slbdtrb0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_31]),c_0_15])]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM542+2 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 13:08:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.114 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 61
% 0.22/1.41 # Proof object clause steps : 43
% 0.22/1.41 # Proof object formula steps : 18
% 0.22/1.41 # Proof object conjectures : 35
% 0.22/1.41 # Proof object clause conjectures : 32
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 22
% 0.22/1.41 # Proof object initial formulas used : 9
% 0.22/1.41 # Proof object generating inferences : 15
% 0.22/1.41 # Proof object simplifying inferences : 29
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 55
% 0.22/1.41 # Removed by relevancy pruning/SinE : 5
% 0.22/1.41 # Initial clauses : 218
% 0.22/1.41 # Removed in clause preprocessing : 7
% 0.22/1.41 # Initial clauses in saturation : 211
% 0.22/1.41 # Processed clauses : 734
% 0.22/1.41 # ...of these trivial : 59
% 0.22/1.41 # ...subsumed : 318
% 0.22/1.41 # ...remaining for further processing : 357
% 0.22/1.41 # Other redundant clauses eliminated : 14
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 49
% 0.22/1.41 # Backward-rewritten : 49
% 0.22/1.41 # Generated clauses : 1637
% 0.22/1.41 # ...of the previous two non-trivial : 1412
% 0.22/1.41 # Contextual simplify-reflections : 362
% 0.22/1.41 # Paramodulations : 1602
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 31
% 0.22/1.41 # Current number of processed clauses : 252
% 0.22/1.41 # Positive orientable unit clauses : 25
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 10
% 0.22/1.41 # Non-unit-clauses : 217
% 0.22/1.41 # Current number of unprocessed clauses: 668
% 0.22/1.41 # ...number of literals in the above : 3697
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 102
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 25425
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 12414
% 0.22/1.41 # Non-unit clause-clause subsumptions : 662
% 0.22/1.41 # Unit Clause-clause subsumption calls : 779
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 6
% 0.22/1.41 # BW rewrite match successes : 4
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 36312
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.566 s
% 0.22/1.41 # System time : 0.002 s
% 0.22/1.41 # Total time : 0.568 s
% 0.22/1.41 # Maximum resident set size: 5440 pages
%------------------------------------------------------------------------------